Pith Number

pith:BENQWQFU

pith:2021:BENQWQFUN5W6T5BAHGTOPZPYRT

not attested not anchored not stored refs pending

Crystallography of Hyperbolic Lattices

Alexey V. Gorshkov, Alicia J. Koll\'ar, Igor Boettcher, Joseph Maciejko, Ronny Thomale, Steven Rayan

arxiv:2105.01087 v2 · 2021-05-03 · cond-mat.str-el · cond-mat.mes-hall · cond-mat.stat-mech · math-ph · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BENQWQFUN5W6T5BAHGTOPZPYRT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T04:07:03.780037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091b0b40b46f6de9f42039a6e7e5f88cef102579bba0f6b266de0b460011d5aa

Aliases

arxiv: 2105.01087 · arxiv_version: 2105.01087v2 · doi: 10.48550/arxiv.2105.01087 · pith_short_12: BENQWQFUN5W6 · pith_short_16: BENQWQFUN5W6T5BA · pith_short_8: BENQWQFU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BENQWQFUN5W6T5BAHGTOPZPYRT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 091b0b40b46f6de9f42039a6e7e5f88cef102579bba0f6b266de0b460011d5aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77335cd99dabf1de35ab0829533e02ce5b370ba4014a29da1537c961ab0da992",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-05-03T18:00:07Z",
    "title_canon_sha256": "14a890506b326bf43ee906c842981b28c11041847e738f4f9a3e9679cb9ff407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01087",
    "kind": "arxiv",
    "version": 2
  }
}